Answers edited by Will

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• A space shuttle requires 3-out-of-4 of its main engines to achieve orbit. Each engine has a reliability of 0.97. What is the probability of achieving orbit?
  
• What is #f(x) = int x-3e^x dx# if #f(1) = 0 #?
  
• How do you find the number of terms n given the sum #s_n=2178# of the series #2+16+30+44+58+...#?
  
• How do you prove #sin(alpha+beta)sin(alpha-beta)=sin^2alpha-sin^2beta#?
  
• Question #c4443
  
• Carl has a piece of toast that has jelly on one side, and he dropped it twice. Both times, it landed with the jelly side up. If he drops it two more times, what is the probability that it will have landed jelly side up a total of three times?
  
• Suppose that the fish in my pond have mean length 20 inches with a standard deviation of 4 inches. What is the probability that in an independent random sample, the total length of 5 fish caught from this pond will be between 95 and 110 inches in length?
  
• A person visiting Las Vegas rolls the dice at a "craps" table and wonders what is the probability of rolling the dice 24 times without ever rolling a "7". Can the binomial distribution be applied to this situation?
  
• What is the implicit derivative of #xy+ysqrt(xy-x) =8 #?
  
• What is the range of a logistic function?
  
• Question #f4e84
  
• In how many ways can 6 graduates line up to receive their diplomas, if there are 4 girls and 2 boys and the girls will receive their diplomas first?
  
• How do you calculate the standard deviation of a bounded probability distribution function?
  
• How do you compute the dot product for #<-4, 1>*<2, -3>#?
  
• How do you implicitly differentiate #-y= 4x^3y^2+2x^2y^3 #?
  
• The average time a subscriber spends reading the local newspaper is 49 minutes. For the 10% who spend the most time reading the paper, how much time do they spend?
  
• How do you translate the phrase into an algebraic: Twelve times as many people?
  
• Two cards are drawn at random from a standard deck of 52 cards, without replacement. What is the probability that both cards drawn are hearts?
  
• What is the log-likelihood function?
  
• How do you implicitly differentiate #-y=y-sqrt(x^3y-y) #?
  
• The value of a new car bought for $20,000 decreased by 10% per year. How do you write an exponential decay model for the value of the car and use the model to estimate the value after one year?
  
• How do you integrate #e^7x^3 x^2 dx#?
  
• What is the probability that you will get a sum of 7 when you roll a pair of dice?
  
• If $12000 is invested at 4% compound quarterly, what is the amount after 8 years?
  
• Why can't a confidence level be 100%?
  
• If #A= <-5 ,6 ,-3 ># and #B= <-6 ,-4 ,4 >#, what is #A*B -||A|| ||B||#?
  
• What is the probability of having 2,3, or 4 successes in five trials of a binomial experiment in which the probability of success is 40%?
  
• What is the expected value of a lottery offering $100 or a consolation prize of $2 if you do not win, when the probability of winning is .4?
  
• What is the standard deviation of is #sigma(X)=2sigma(Y)#, what is #sigma(X+Y)#?
  
• A large city is growing by at rate of 0.8% annually. If there were 3,390,000 residents of the city in 1992, predict how many will be living in the city in 1997?
  
• If $75 is invested at an interest rate of 8% per year and is compounded monthly, how much will the investment be worth in 15 years?
  
• Question #59f14
  
• At Jefferson Middle School, 12% of the students play volleyball and 5% of the students play volleyball and basketball. What is the probability that a student that he plays volleyball?